Given:
Sprayer and generator
1st Job: 6 hours each for a total of $90
2nd Job: 4 hours sprayer and 8 hours generator for a total of $100
Let x = spayer ; y = generator
6x + 6y = 90
4x + 8y = 100
6x = 90 - 6y
x = 90/6 - 6y/6
x = 15 - y
4x + 8y = 100
4(15-y) + 8y = 100
60 - 4y + 8y = 100
4y = 100 - 60
4y = 40
y = 40/4
y = 10
x = 15 - y
x = 15 - 10
x = 5
Sprayer = 5 per hour ; generator = 10 per hour
To check:
6x + 6y = 90
6(5) + 6(10) = 90
30 + 60 = 90
90 = 90
<span>4x + 8y = 100
</span>4(5) + 8(10) = 100
20 + 80 = 100
100 = 100
Answer:
Step-by-step explanation:
We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.
To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:



This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

And we find ourselves on the same conclusion.
Have a wonderful day :D
X is the number of dog
y is the number of cats , y=40
25% of x is 25*x /100=25x/100=x/4
<span>and there are 25% more cats than dogs means y+ x/4=x implies 40=(3/4)x
</span>x=160/3=53
so the number of dogs is 53 and the number of cats is 40
the total number is 53+40=93
The answer to this question would be 6